This book systematically discusses the modern theory of propagation and interaction of
elastic waves in solids with microstructure. Mathematical models of solids taking into …

A overview is given of different approaches to simulate and predict crack propagation in
quasi-brittle materials, pointing out their merits, disadvantages and complementarity …

This paper presents a method for the linear analysis of the stiffness and strength of open and
closed cell lattices with arbitrary topology. The method hinges on a multiscale approach that …

The equivalent in-plane properties for hexagonal and re-entrant (auxetic) lattices are
investigated through the analysis of partial differential equations associated with their …

Analytical wave propagation studies in gradient elastic solids and structures are presented.
These solids and structures involve an infinite space, a simple axial bar, a Bernoulli–Euler …

We use a computational homogenisation approach to derive a non linear constitutive model
for lattice materials. A representative volume element (RVE) of the lattice is modelled by …

In the recent years new classes of ultra-dispersive and nanocrystalline materials 1–3, which
require a different modern approach than that of a classical continuous media, have been …

A generalized theory of elasticity, taking into account the rotational degrees of freedom of
point bodies constituting a continuum, was proposed at the beginning of the twentieth …

A simplified model of periodic chiral beam-lattices containing local resonators has been
formulated to obtain a better understanding of the influence of the chirality and of the …

From the structure of a static granular solid, we derive the fabric and the stiffness tensor in
average over those pairs of interacting particles with contact within the averaging volume …